Unit 1
Exponents/order Operations evaluate 52 ∗ 2
5∗5= 25 so the answer is 25
order of operations comparing different order Add then multiply 3+2×2
10
rewriting number as products of factor of 108
4 factor
identifying common factor of 36 and 48
36= 36, 12,3,4,9
48= 48,12,4,6,8
least common multiple finding the LCM using lists of multiples of 6 and 4
LCM is 12
What is the GCF of 16 and 4
16:1,2,4,8,16
4:1,2,4
So the common factors are 1,2,4 the answer is 16 because it has the Greatest common factor which it is 8 and 16
Using order of operations with exponents 4∗32 + 18-9
50
finding factor pairs use the factor pairs of 30 to find the number of arrangements
30=1×30
30= 2×15
30=5×6
finding the GCF factors of 24 and 48
GCF= 1,2,4,8
finding the LCM using prime factorizations find the LCM of 16 and 20
16=2∗8, 2∗4, 2∗2
20=4∗5, 2∗2
Evaluate 7×5+3
38
using order of operations 50+6(12÷4) -82
4
using a prime factorization 1575
1574=3×3×5×5×7
finding two number with a given GCF of 30 and 60
30
finding the LCM of three number 4= 15= 18
2∗2∗5∗3∗3=180
Evaluate 2+7+42
25
using order of operations writing: why does 12-8÷2=8 but (12-8)÷2=2 so 12-8÷2=8 because you do 8÷2 first and that equal 4 so you do 12-4=8 so it equal 8. (12-8)÷2=2 because you have () so you all ways do that first so 12-8=4 so 4÷2=2.
they are the same thing but you do it a different way.
prime factorization of 72 is 2×2×2×9
2×2×2×9 or 23∗9
modeling in real life
18= 2∗3∗3
24=2∗3∗2∗2
42=2∗3∗7
2∗3=6
modeling and real life multiples of 8 and 10
40
Determine whether each number is a perfect square 72
49
Modeling real life one-half ( total area-area of zone )
1/2 (402 - 202 ) =1/2 ( 1600-400 )
=1/2 (1200)
600
perfect number of 28
1,2,4,7,14
problem solving you use 30 sandwich and 42 granola bars to make identical picnic basket with no food left over
30=2∗3∗5
42=2∗3∗7
2∗3=6
problem solving 12 minutes 10 minutes 5 minutes
5